Skewing around: Relationships among classes of skewed distributions

Methodology and Computing in Applied Probability

Volumn 9, Issue 2, 2007, Pages 153-162

  Arnold, Barry C ^a   Beaver, Robert J ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Hidden truncation; Skew normal families

Indexed keywords

EID: 34248174385     PISSN: 13875841     EISSN: 15737713     Source Type: Journal    
DOI: 10.1007/s11009-007-9028-4     Document Type: Article

References (20)

1. R. B. Arellano-Valle and A. Azzalini, "On the unification of families of skew-normal distributions," Scandinavian Journal of Statistics vol. 33 pp. 561-574, 2006.
2. R. B. Arellano-Valle and M. G. Genton, "On fundamental skew distributions," Journal of Multivariate Analysis vol. 96 pp. 93-116, 2005.
3. R. B. Arellano-Valle, M. D. Branco and M. G. Genton, "A unified view on skewed distributions arising from selections," Canadian Journal of Statistics vol. 31 pp. 129-150, 2006.
4. B. C. Arnold, R. J. Beaver, R. A. Groeneveld, and W. Q. Meeker, "The nontruncated marginal of a truncated bivariate normal distribution," Psychometrika vol. 58 pp. 471-478, 1993.
5. B. C. Arnold and R. J. Beaver, "Hidden truncation models," Sankhyā vol. 62 pp. 22-35, 2000a.
6. B. C. Arnold and R. J. Beaver, "The skew-Cauchy distribution," Statistics and Probability Letters vol. 49 pp. 285-290, 2000b.
7. B. C. Arnold and R. J. Beaver, "Some skewed multivariate distributions," American Journal of Mathematical and Management Sciences vol. 20 pp. 27-38, 2000c.
8. B. C. Arnold and R. J. Beaver, "Skewed multivariate models related to hidden truncation and/or selective reporting," Test vol. 11(1) pp. 7-54, 2002.
9. B. C. Arnold and R. J. Beaver, "Alternative constructions of skewed multivariate distributions," Acta et Commentationes Universitatis Tartuensis de Mathematica vol. 8 pp. 1-9, 2004.
10. A. Azzalini, "A class of distributions that includes the normal ones," Scandinavian Journal of Statistics vol. 12 pp. 171-178, 1985.
11. A. Azzalini and M. Chiogna, "Some results on the stress-strength model for skew-normal variates," Metron vol. LXII pp. 315-326, 2004.
12. A. Azzalini and A. Dalla Valle, "The multivariate skew-normal distribution," Biometrika vol. 83 pp. 715-726, 1996.
13. N. Balakrishnan and R. S. Ambagaspitiya, "On skew-Laplace distributions," Technical Report, Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada, 1994.
14. C. Crocetta and N. Loperfido, "On the exact sampling distribution of L-statistics," Quaderni DSEMS 06-2003, Dipartimento di Scienze Economiche, Mathematiche e Statistiche, Universita di Foggia, 2003a.
15. C. Crocetta and N. Loperfido, "Sampling distribution of the Gini index from a skew normal," Quaderni, DSEMS 07-2003, Dipartimento di Scienze Economiche, Mathematiche e Statistiche, Universita di Foggia, 2003b.
16. G. Gonzales-Farias, J. A. Dominguez-Molina, and A. K. Gupta, "The closed skew-normal distribution." In M. G. Genton (ed.), Skew-elliptical Distributions and Their Applications, chap. 2 pp. 25-42, Chapman and Hall: London, 2004.
17. C. G. Gupta and N. Brown, "Reliability studies of the skew-normal distribution and its application to a strength-stress model," Communications in Statistics-Theory and Methods vol. 30(11) pp. 2427-2445, 2001.
18. N. Henze, "A probabilistic representation of the 'skew-normal' distribution," Scandinavian Journal of Statistics vol. 13 pp. 271-275, 1986.
19. N. Loperfido, "Statistical implications of selectively reported inferential results," Statistics and Probability Letters vol. 56 pp. 13-22, 2002.
20. T. Miwa, A. J. Hayter, and S. Kiriki, "The evaluation of general non-centered orthant probabilites," Journal of the Royal Statistical Society, B vol. 65 pp. 223-234, 2003.